Almost-good qLDPC and qLTC codes admit nontrivial transversal logical multi-controlled-Z gates via cohomological cup products and two-way product-expanding punctured Reed–Solomon local codes.
Explicit Abelian Lifts and Quantum LDPC Codes,
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Transversal non-Clifford gates on almost-good quantum LDPC and quantum locally testable codes
Almost-good qLDPC and qLTC codes admit nontrivial transversal logical multi-controlled-Z gates via cohomological cup products and two-way product-expanding punctured Reed–Solomon local codes.